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Finding the Fourth Proportional to 38,573.24, 53,228.57 and 21,574.54

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Solution

The fourth proportional to 38,573.24, 53,228.57 and 21,574.54 is: 29,771.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,573.24 : 53,228.57 = 21,574.54 : x
  2. Step 2: Convert to fraction form
    38,573.24/53,228.57 = 21,574.54/x
  3. Step 3: Cross multiply
    38,573.24x = 53,228.57 × 21,574.54
  4. Step 4: Simplify right side
    38,573.24x = 1,148,381,912.61
  5. Step 5: Solve for x
    x = 1,148,381,912.61/38,573.24
  6. Step 6: Final answer
    x = 29,771.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.